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Fin Conduction Lab Theoretical C Start Tem 207.3 T_plate 200 Big Fin T_air 25 x TC TC TC 1 88.8 93.5 94.4 2 92.8 94.3 94.8 3 83.9 84.8 85.6 4 81.8 82.2 82.3 5 70.7 70.9 71.3 6 69.1 69.1 69.1 7 67.1 65.4 66.9 8 68.2 67.4 67.9 Start Temp Small Fin x TC TC TC 1 120.4 122.7 123.9 2 112.7 114.1 116.9 3 106.9 108.4 106.9 4 100.9 101.9 103.3 5 103.1 103.1 103.0 0 1 2 3 4 0.0 20.0 40.0 60.0 80.0 100.0 120.0

Fin Conducdddtion Lab Results (Modified)

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Fin Conduction Lab LARGE FIN

Theoretical C Start Temp 207.3T_plate 200 Big Fin Aluminum

T_air 25 x TC TC TC AVG1 88.8 93.5 94.4 92.22 92.8 94.3 94.8 94.03 83.9 84.8 85.6 84.84 81.8 82.2 82.3 82.15 70.7 70.9 71.3 71.06 69.1 69.1 69.1 69.17 67.1 65.4 66.9 66.58 68.2 67.4 67.9 67.8

SMALL FIN

Start TempSmall Fin Aluminum

x TC TC TC AVG1 120.4 122.7 123.9 122.32 112.7 114.1 116.9 114.63 106.9 108.4 106.9 107.44 100.9 101.9 103.3 102.05 103.1 103.1 103.0 103.1

0 1 2 3 4 5 6 7 8 90.0

20.0

40.0

60.0

80.0

100.0

120.0

Aluminum Copper Steel

LARGE FIN

201.8Aluminum Copper

STDEV IR IR IR AVG STDEV TC TC3.0 96.8 92.4 92.4 93.9 2.5 109.4 112.31.0 78.4 78.4 71.0 75.9 4.3 106.3 106.60.9 65.2 55.4 55.4 58.7 5.7 106.2 105.90.3 54.4 49.8 49.2 51.1 2.8 98.6 99.90.3 43.2 43.0 42.0 42.7 0.6 95.6 96.40.0 40.8 42.6 39.6 41.0 1.5 91.9 93.80.9 40.4 40.6 40.6 40.5 0.1 87.1 88.40.4 42.8 42.8 43.2 42.9 0.2 89.2 88.7

SMALL FIN

Aluminum CopperSTDEV IR IR IR AVG STDEV TC TC

1.8 123.2 122.6 124.6 123.5 1.0 133.2 136.42.1 79.4 79.4 77.4 78.7 1.2 122.3 122.80.9 76.8 77.6 78.0 77.5 0.6 129.6 129.61.2 69.4 69.2 69.6 69.4 0.2 111.8 112.90.1 65.0 64.2 63.8 64.3 0.6 121.3 122.6

0 1 2 3 4 5 6 7 8 90.0

20.0

40.0

60.0

80.0

100.0

120.0

Aluminum Copper Steel

0 1 2 3 4 5 6 7 8 90.0

10.0

20.0

30.0

40.0

50.0

60.0

70.0

80.0

90.0

100.0

TCIR

TOOK READINGS HERE UP THE PLATE AT EACH MARK

LARGE FIN

197.1Copper Steel

TC AVG STDEV IR IR IR AVG STDEV TC113.2 111.6 2.0 88.0 83.4 84.6 85.3 2.4 83.5102.8 105.2 2.1 82.4 84.8 86.8 84.7 2.2 77.2107.6 106.6 0.9 75.2 76.6 76.6 76.1 0.8 64.694.9 97.8 2.6 72.6 70.6 66.6 69.9 3.1 57.897.1 96.4 0.8 58.0 58.0 57.6 57.9 0.2 46.793.6 93.1 1.0 55.4 54.8 55.6 55.3 0.4 44.889.1 88.2 1.0 57.6 55.8 55.2 56.2 1.2 43.191.9 89.9 1.7 58.4 58.4 58.6 58.5 0.1 41.2

SMALL FIN

Copper SteelTC AVG STDEV IR IR IR AVG STDEV TC

136.9 135.5 2.0 95.0 94.6 95.4 95.0 0.4 115.8123.2 122.8 0.5 93.4 93.0 90.6 92.3 1.5 100.8128.9 129.4 0.4 83.8 87.0 84.4 85.1 1.7 79.8114.5 113.1 1.4 76.6 77.0 76.8 76.8 0.2 68.8123.1 122.3 0.9 79.8 78.4 78.4 78.9 0.8 64.6

0 1 2 3 4 5 6 7 8 90.0

10.0

20.0

30.0

40.0

50.0

60.0

70.0

80.0

90.0

100.0

TCIR

TOOK READINGS HERE UP THE PLATE AT EACH MARK

LARGE FIN

SteelTC TC AVG STDEV IR IR IR AVG STDEV

89.9 89.3 87.6 3.5 121.6 122.2 123.4 122.4 0.981.9 81.9 80.3 2.7 90.6 67.6 67.6 75.3 13.365.1 65.1 64.9 0.3 50.2 46.4 50.0 48.9 2.157.3 57.0 57.4 0.4 42.6 42.6 41.8 42.3 0.546.2 46.2 46.4 0.3 35.4 35.6 55.6 42.2 11.644.3 44.1 44.4 0.4 34.6 34.0 34.0 34.2 0.342.9 42.5 42.8 0.3 33.2 33.0 33.2 33.1 0.141.6 41.3 41.4 0.2 32.6 32.6 32.6 32.6 0.0

SMALL FIN

SteelTC TC AVG STDEV IR IR IR AVG STDEV

114.7 113.4 114.6 1.2 129.2 123.2 125.2 125.9 3.1101.3 101.5 101.2 0.4 79.0 71.6 73.4 74.7 3.980.2 76.6 78.9 2.0 49.6 48.6 49.4 49.2 0.567.4 67.2 67.8 0.9 43.4 43.2 43.0 43.2 0.263.7 63.1 63.8 0.8 39.8 40.0 39.6 39.8 0.2

aluminum-long-TC k = 237 W/(m*K) = 137 BTU/(ft*hr*F) aluminum-short-TC k = 237 W/(m*K) = 137 BTU/(ft*hr*F)x (in) ξ T avg (F) local h avg h BTU/(ft*hr*F) x (in) T avg (F) local h

0 0 392 1.429313 1.011314 qn (BTU/hr*ft^2)avg 0 392 1.4293131 0.125 198.02 1.039593 252.2469 10.51029 1 252.2 1.1757412 0.25 201.14 1.04843 260.9332 10.87222 2 238.22 1.1436543 0.375 184.58 0.999692 215.6936 8.987232 3 225.32 1.1123594 0.5 179.78 0.98464 202.9934 8.458057 4 215.66 1.0877175 0.625 159.74 0.916182 152.1595 6.339979 5 217.52 1.0925496 0.75 156.38 0.903654 144.0064 6.0002667 0.875 151.64 0.885368 132.699 5.5291248 1 154.1 0.894952 62.4696 138.5385 5.772439

copper-long-TC k = 401 W/(m*K) = 232 BTU/(ft*hr*F) copper-short-TC k = 401 W/(m*K) = 232 BTU/(ft*hr*F)x (in) ξ T avg (F) local h avg h BTU/(ft*hr*F) x (in) T avg (F) local h

0 0 392 1.429313 1.109943 qn (BTU/hr*ft^2)avg 0 392 1.4293131 0.125 232.94 1.131054 353.4318 285.2461 1 275.9 1.2264482 0.25 221.42 1.102543 319.12 2 252.98 1.177483 0.375 223.82 1.108604 326.1957 3 264.86 1.2033594 0.5 208.04 1.06746 280.4004 4 235.52 1.1372465 0.625 205.46 1.060424 273.0804 heat 5 252.2 1.1757416 0.75 199.58 1.04403 256.5808 removal7 0.875 190.76 1.018428 232.3238 BTU/hr8 1 193.88 1.027631 240.8356 190.164

steel-long-TC k = 14 W/(m*K) = 8.09 BTU/(ft*hr*F) steel-short-TC k = 14 W/(m*K) = 8.09 BTU/(ft*hr*F)x (in) T avg (F) local h avg h BTU/(ft*hr*F) x (in) T avg (F) local h

0 392 1.429313 0.869767 qn (BTU/hr*ft^2)avg 0 392 1.4293131 189.62 1.015024 229.233 103.9188 1 238.34 1.1439372 176.6 0.974409 194.6868 2 214.16 1.0837893 148.88 0.874363 126.223 3 173.96 0.9657494 135.26 0.815492 95.51041 4 154.04 0.894725 115.46 0.710691 55.09273 heat 5 146.84 0.8660476 111.92 0.68836 48.48809 removal7 109.1 0.669475 43.38197 BTU/hr8 106.46 0.650774 38.73408 69.27918

Tw = 392 FTa = 76.7 FL = 8 in = 2/3 ftb = 0.25 in = 0.25/12 ftW = 6/12 ft

0

50

100

150

200

250

300

Average Heat Transfer Calculated from Thermocouple Readings

AluminumCopperStainless Steel

Heat

Tra

nsfe

r (BT

U/hr

)

0

50

100

150

200

250

300

Average Heat Transfer Calculated from Thermocouple Readings

AluminumCopperStainless Steel

Heat

Tra

nsfe

r (BT

U/hr

)

0 0.2 0.4 0.6 0.8 1 1.20

50

100

150

200

250

300

350

400

Thermocouple vs. Infrared ThermometerLarge Copper Fin

ThermocoupleInfrared

DIMENSIONLESS LENGTH ξ

HEAT

FLU

X (B

TU/ft

^2*h

r)

k = 237 W/(m*K) = 137 BTU/(ft*hr*F) aluminum-long-IR k = 237 W/(m*K) = 137 BTU/(ft*hr*F)avg h BTU/(ft*hr*F) x (in) T avg (F) local h avg h BTU/(ft*hr*F)

1.173555 qn (BTU/hr*ft^2)avg 0 392 1.429313 0.8484 qn (BTU/hr*ft^2)avg412.6851 17.19521 1 200.96 1.047924 260.43 95.98546369.4461 15.39359 2 168.68 0.947946 174.3842330.6376 13.77657 3 137.6 0.826212 100.6327302.2983 12.59576 4 124.04 0.759677 71.92617307.7054 12.82106 5 108.92 0.668233 43.06092 heat

6 105.8 0.645927 37.59297 removal7 104.96 0.639651 36.1531 BTU/hr

71.78219 8 109.28 0.670712 43.70362 63.99031k = 401 W/(m*K) = 232 BTU/(ft*hr*F) copper-long-IR k = 401 W/(m*K) = 232 BTU/(ft*hr*F)

avg h BTU/(ft*hr*F) x (in) ξ T avg (F) local h avg h BTU/(ft*hr*F)1.224931 qn (BTU/hr*ft^2)avg 0 0 392 1.429313 0.948573 qn (BTU/hr*ft^2)avg

488.6168 426.1034 1 0.125 185.6 1.002833 218.417 141.5278415.1324 2 0.25 184.4 0.999136 215.2139452.8479 3 0.375 169.04 0.949181 175.2948361.2348 4 0.5 157.88 0.90929 147.6323412.6851 heat 5 0.625 136.16 0.819648 97.47259 heat

removal 6 0.75 131.48 0.797554 87.37999 removalBTU/hr 7 0.875 133.16 0.805625 90.97117 BTU/hr

284.0689 8 1 137.24 0.824581 99.84029 94.35184k = 14 W/(m*K) = 8.09 BTU/(ft*hr*F) steel-long-IR k = 14 W/(m*K) = 8.09 BTU/(ft*hr*F)

avg h BTU/(ft*hr*F) x (in) T avg (F) local h avg h BTU/(ft*hr*F)1.063926 qn (BTU/hr*ft^2)avg 0 392 1.429313 0.796961 qn (BTU/hr*ft^2)avg

369.8121 223.1018 1 252.32 1.176009 413.0614 97.38736297.9553 2 167.48 0.943806 171.3574187.8574 3 119.96 0.737193 63.78198138.3954 4 108.2 0.663218 41.78272

121.489 heat 5 107.96 0.661529 41.3588 heatremoval 6 93.56 0.538483 18.15764 removalBTU/hr 7 91.64 0.517213 15.45433 BTU/hr

148.7345 8 90.68 0.505889 14.14465 64.92491

0

50

100

150

200

250

300

Average Heat Transfer Calculated from Thermocouple Readings

AluminumCopperStainless Steel

Heat

Tra

nsfe

r (BT

U/hr

)

0

20

40

60

80

100

120

140

160

Average Heat Transfer Calculated from Infrared Laser Readings

AluminumCopperStainless Steel

Heat

Tra

nsfe

r (BT

U/hr

)

0

50

100

150

200

250

300

Average Heat Transfer Calculated from Thermocouple Readings

AluminumCopperStainless Steel

Heat

Tra

nsfe

r (BT

U/hr

)

0

20

40

60

80

100

120

140

160

Average Heat Transfer Calculated from Infrared Laser Readings

AluminumCopperStainless Steel

Heat

Tra

nsfe

r (BT

U/hr

)

0 0.2 0.4 0.6 0.8 1 1.20

50

100

150

200

250

300

350

400

Thermocouple vs. Infrared ThermometerLarge Copper Fin

ThermocoupleInfrared

DIMENSIONLESS LENGTH ξ

HEAT

FLU

X (B

TU/ft

^2*h

r)

aluminum-short-IR k = 237 W/(m*K) = 137 BTU/(ft*hr*F)x (in) T avg (F) local h avg h BTU/(ft*hr*F)

0 392 1.429313 1.051259 qn (BTU/hr*ft^2)avg1 254.24 1.180279 419.0935 211.34982 173.72 0.964953 187.23963 171.44 0.957335 181.39584 156.92 0.905691 145.30915 147.8 0.86998 123.7111 heat

removalBTU/hr

140.8999copper-short-IR k = 401 W/(m*K) = 232 BTU/(ft*hr*F)

x (in) T avg (F) local h avg h BTU/(ft*hr*F)0 392 1.429313 1.073905 qn (BTU/hr*ft^2)avg1 203 1.053627 266.1463 220.44462 198.2 1.040107 252.7463 185.12 1.001357 217.13434 170.24 0.953275 178.33885 173.96 0.965749 187.8574 heat

removalBTU/hr146.963

steel-short-IR k = 14 W/(m*K) = 8.09 BTU/(ft*hr*F)x (in) T avg (F) local h avg h BTU/(ft*hr*F)

0 392 1.429313 0.933874 qn (BTU/hr*ft^2)avg1 258.56 1.189776 432.7451 148.96752 166.4 0.940048 168.64463 120.56 0.740586 64.96424 109.76 0.67399 44.564235 103.64 0.629533 33.91924 heat

removalBTU/hr

99.31166

0

20

40

60

80

100

120

140

160

Average Heat Transfer Calculated from Infrared Laser Readings

AluminumCopperStainless Steel

Heat

Tra

nsfe

r (BT

U/hr

)

0

20

40

60

80

100

120

140

160

Average Heat Transfer Calculated from Infrared Laser Readings

AluminumCopperStainless Steel

Heat

Tra

nsfe

r (BT

U/hr

)

T_a © 25T_w © 200

EXPERIMENTAL - LARGE ALUMINUM FIN EXPERIMENTAL - SMALL ALUMINUM FIN

LONG FIN 8 TC Θ TC IR Θ IR SHORT FIN 5X DIM LENG TEMP DIM TEMP TEMP DIM TEMP X DIM LENG1 0.125 92.2 0.384 93.9 0.394 1 0.22 0.25 94.0 0.394 75.9 0.291 2.0 0.43 0.375 84.8 0.342 58.7 0.192 3.0 0.64 0.5 82.1 0.326 51.1 0.149 4.0 0.85 0.625 71.0 0.263 42.7 0.101 5.0 16 0.75 69.1 0.252 41.0 0.0917 0.875 66.5 0.237 40.5 0.0898 1 67.8 0.245 42.9 0.102

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10.000

0.100

0.200

0.300

0.400

0.500

0.600

0.700

0.800

0.900

1.000

ALUMINUM FIN TEMPERATURE PROFILE & EXPERIMENTAL DATA

THERMOCOUPLE - LONG FININFRARED - LONG FINTHERMOCOUPLE - SHORT FININFRARED - SHORT FINTHEORETICAL

DIMENSIONLESS LENGTH ξ

DIM

ENSI

ON

LESS

TEM

P Θ

EXPERIMENTAL - SMALL ALUMINUM FIN

TC Θ TC IR Θ IR Theoretical fom MATLABDIM TEMP TEMP TEMP DIM TEMP Length

122.3 0.556 123.5 0.563 1 0 1 0114.6 0.512 78.7 0.307 0.9947 0.01 0.7305 0.5107.4 0.471 77.5 0.300 0.9895 0.02 0.6681 0.75102.0 0.440 69.4 0.254 0.9844 0.03 0.6477 1103.1 0.446 64.3 0.225 0.9792 0.04

0.9742 0.050.9692 0.060.9642 0.070.9593 0.080.9544 0.090.9496 0.10.9449 0.110.9402 0.120.9355 0.130.9309 0.140.9263 0.150.9218 0.160.9173 0.170.9129 0.180.9085 0.190.9042 0.20.8999 0.210.8957 0.220.8915 0.230.8874 0.240.8833 0.250.8792 0.260.8752 0.270.8712 0.280.8673 0.290.8634 0.30.8596 0.310.8558 0.320.8521 0.330.8483 0.340.8447 0.350.8411 0.360.8375 0.370.8339 0.380.8305 0.390.827 0.4

0.8236 0.41

MATLAB THEORETICAL DATA

Temp θ

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10.000

0.100

0.200

0.300

0.400

0.500

0.600

0.700

0.800

0.900

1.000

ALUMINUM FIN TEMPERATURE PROFILE & EXPERIMENTAL DATA

THERMOCOUPLE - LONG FININFRARED - LONG FINTHERMOCOUPLE - SHORT FININFRARED - SHORT FINTHEORETICAL

DIMENSIONLESS LENGTH ξ

DIM

ENSI

ON

LESS

TEM

P Θ

0.8202 0.420.8169 0.430.8136 0.440.8103 0.450.8071 0.460.804 0.47

0.8008 0.480.7977 0.490.7947 0.50.7917 0.510.7887 0.520.7858 0.530.7829 0.54

0.78 0.550.7772 0.560.7744 0.570.7716 0.580.7689 0.590.7663 0.60.7636 0.610.761 0.62

0.7585 0.630.7559 0.640.7535 0.650.751 0.66

0.7486 0.670.7462 0.680.7439 0.690.7416 0.70.7393 0.710.7371 0.720.7348 0.730.7327 0.740.7306 0.750.7285 0.760.7264 0.770.7244 0.780.7224 0.790.7204 0.80.7185 0.810.7166 0.820.7147 0.830.7129 0.840.7111 0.850.7094 0.860.7077 0.870.706 0.88

0.7043 0.89

0.7027 0.90.7011 0.910.6995 0.920.698 0.93

0.6965 0.940.6951 0.950.6937 0.960.6923 0.970.6909 0.980.6896 0.990.6883 1

T_a © 25T_w © 200

EXPERIMENTAL - LARGE COPPER FIN EXPERIMENTAL - SMALL COPPER FIN

LONG FIN 8 TC Θ TC IR Θ IR SHORT FIN 5X DIM LENG TEMP DIM TEMP TEMP DIM TEMP X DIM LENG1 0.125 111.6 0.495 85.3 0.345 1 0.22 0.25 105.2 0.458 84.7 0.341 2.0 0.43 0.375 106.6 0.466 76.1 0.292 3.0 0.64 0.5 97.8 0.416 69.9 0.257 4.0 0.85 0.625 96.4 0.408 57.9 0.188 5.0 16 0.75 93.1 0.389 55.3 0.1737 0.875 88.2 0.361 56.2 0.1788 1 89.9 0.371 58.5 0.191

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10.000

0.100

0.200

0.300

0.400

0.500

0.600

0.700

0.800

0.900

1.000

COPPER FIN TEMPERATURE PROFILE & EXPERIMENTAL DATA

THERMOCOUPLE - LONG FININFRARED - LONG FINTHERMOCOUPLE - SHORT FININFRARED - SHORT FINTHEORETICAL

DIMENSIONLESS LENGTH ξ

DIM

ENSI

ON

LESS

TEM

P Θ

EXPERIMENTAL - SMALL COPPER FIN

TC Θ TC IR Θ IR Theoretical fom MATLABDIM TEMP TEMP TEMP DIM TEMP Length

135.5 0.631 95.0 0.400 1 0 1 0122.8 0.559 92.3 0.385 0.9974 0.01 0.8201 0.5129.4 0.596 85.1 0.343 0.9947 0.02 0.7772 0.75113.1 0.503 76.8 0.296 0.9921 0.03 0.763 1122.3 0.556 78.9 0.308 0.9896 0.04

0.987 0.050.9845 0.060.982 0.07

0.9796 0.080.9771 0.090.9747 0.10.9723 0.11

0.97 0.120.9676 0.130.9653 0.140.9631 0.150.9608 0.160.9586 0.170.9564 0.180.9542 0.190.952 0.2

0.9499 0.210.9478 0.220.9457 0.230.9436 0.240.9416 0.250.9396 0.260.9376 0.270.9356 0.280.9337 0.290.9318 0.30.9299 0.310.9281 0.320.9262 0.330.9244 0.340.9226 0.350.9208 0.360.9191 0.370.9174 0.380.9157 0.390.914 0.4

0.9124 0.41

MATLAB THEORETICAL DATA

Temp θ

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10.000

0.100

0.200

0.300

0.400

0.500

0.600

0.700

0.800

0.900

1.000

COPPER FIN TEMPERATURE PROFILE & EXPERIMENTAL DATA

THERMOCOUPLE - LONG FININFRARED - LONG FINTHERMOCOUPLE - SHORT FININFRARED - SHORT FINTHEORETICAL

DIMENSIONLESS LENGTH ξ

DIM

ENSI

ON

LESS

TEM

P Θ

0 0.2 0.4 0.6 0.8 1 1.20.000

0.100

0.200

0.300

0.400

0.500

0.600

Large Copper Fin Infrared vs. Thermocouple Thermometer

TCIR

DIMENSIONLESS LENGTH ξ

DIM

ENSI

ON

LESS

TEM

PERA

TURE

Θ

0.9107 0.420.9091 0.430.9076 0.440.906 0.45

0.9045 0.460.903 0.47

0.9015 0.480.9 0.49

0.8986 0.50.8972 0.510.8958 0.520.8944 0.530.893 0.54

0.8917 0.550.8904 0.560.8891 0.570.8879 0.580.8867 0.590.8854 0.60.8843 0.610.8831 0.620.8819 0.630.8808 0.640.8797 0.650.8787 0.660.8776 0.670.8766 0.680.8756 0.690.8746 0.70.8736 0.710.8727 0.720.8718 0.730.8709 0.74

0.87 0.750.8691 0.760.8683 0.770.8675 0.780.8667 0.790.8659 0.80.8652 0.810.8645 0.820.8638 0.830.8631 0.840.8624 0.850.8618 0.860.8612 0.870.8606 0.88

0.86 0.89

0.8595 0.90.859 0.91

0.8585 0.920.858 0.93

0.8575 0.940.8571 0.950.8567 0.960.8563 0.970.8559 0.980.8555 0.990.8552 1

0 0.2 0.4 0.6 0.8 1 1.20.000

0.100

0.200

0.300

0.400

0.500

0.600

Large Copper Fin Infrared vs. Thermocouple Thermometer

TCIR

DIMENSIONLESS LENGTH ξ

DIM

ENSI

ON

LESS

TEM

PERA

TURE

Θ

T_a © 25T_w © 200

EXPERIMENTAL - LARGE STAINLESS STEEL FIN EXPERIMENTAL - SMALL STAINLESS STEEL FIN

LONG FIN 8 TC Θ TC IR Θ IR SHORT FIN 5X DIM LENG TEMP DIM TEMP TEMP DIM TEMP X DIM LENG1 0.125 87.6 0.358 122.4 0.557 1 0.22 0.25 80.3 0.316 75.3 0.287 2.0 0.43 0.375 64.9 0.228 48.9 0.136 3.0 0.64 0.5 57.4 0.185 42.3 0.099 4.0 0.85 0.625 46.4 0.122 42.2 0.098 5.0 16 0.75 44.4 0.111 34.2 0.0537 0.875 42.8 0.102 33.1 0.0468 1 41.4 0.094 32.6 0.043

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10.000

0.100

0.200

0.300

0.400

0.500

0.600

0.700

0.800

0.900

1.000

STAINLESS STEEL FIN TEMPERATURE PROFILE & EXPER-IMENTAL DATA

THERMOCOUPLE - LONG FININFRARED - LONG FINTHERMOCOUPLE - SHORT FININFRARED - SHORT FINTHEORETICAL

DIMENSIONLESS LENGTH ξ

DIM

ENSI

ON

LESS

TEM

P Θ

EXPERIMENTAL - SMALL STAINLESS STEEL FIN

TC Θ TC IR Θ IR Theoretical MATLABDIM TEMP TEMP TEMP DIM TEMP Length

114.6 0.512 125.9 0.576 1 0 1 0101.2 0.435 74.7 0.284 0.84 0.16 0.7097 0.0833378.9 0.308 49.2 0.138 0.77 0.28 0.5038 0.166767.8 0.245 43.2 0.104 0.72 0.38 0.3578 0.2563.8 0.222 39.8 0.085 0.68 0.5 0.2544 0.3333

0.64 0.64 0.1812 0.41670.6 0.82 0.1296 0.5

0.59 0.95 0.09341 0.58330.43 0.98 0.06832 0.6667

0.04051 0.83330.03447 0.91670.03254 1

MATLAB THEORETICAL DATA

Temp θ

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10.000

0.100

0.200

0.300

0.400

0.500

0.600

0.700

0.800

0.900

1.000

STAINLESS STEEL FIN TEMPERATURE PROFILE & EXPER-IMENTAL DATA

THERMOCOUPLE - LONG FININFRARED - LONG FINTHERMOCOUPLE - SHORT FININFRARED - SHORT FINTHEORETICAL

DIMENSIONLESS LENGTH ξ

DIM

ENSI

ON

LESS

TEM

P Θ

b (in) 0.25k (W/mK) 205

Tw (K) 473Ta (K) 298 Ta (F) 76.73

Aluminum - BIG FIN - THERMOCOUPLEx TC TC TC AVG STDEV TEMP K TEMP (F) h1 88.8 93.5 94.4 92.23 3.01 365.38 198.02 1.042 92.8 94.3 94.8 93.97 1.04 367.12 201.14 1.053 83.9 84.8 85.6 84.77 0.85 357.92 184.58 1.004 81.8 82.2 82.3 82.10 0.26 355.25 179.78 0.985 70.7 70.9 71.3 70.97 0.31 344.12 159.74 0.926 69.1 69.1 69.1 69.10 0.00 342.25 156.38 0.907 67.1 65.4 66.9 66.47 0.93 339.62 151.64 0.898 68.2 67.4 67.9 67.83 0.40 340.98 154.10 0.89

COPPER - BIG FIN - THERMOCOUPLEx TC TC TC AVG STDEV TEMP K TEMP (F) h1 109.4 112.3 113.2 111.63 1.99 384.78 232.94 1.132 106.3 106.6 102.8 105.23 2.11 378.38 221.42 1.103 106.2 105.9 107.6 106.57 0.91 379.72 223.82 1.114 98.6 99.9 94.9 97.80 2.59 370.95 208.04 1.075 95.6 96.4 97.1 96.37 0.75 369.52 205.46 1.066 91.9 93.8 93.6 93.10 1.04 366.25 199.58 1.047 87.1 88.4 89.1 88.20 1.01 361.35 190.76 1.028 89.2 88.7 91.9 89.93 1.72 363.08 193.88 1.03

STAINLESS STEEL - BIG FIN - THERMOCOUPLEx TC TC TC AVG STDEV TEMP K TEMP (F) h1 83.5 89.9 89.3 87.57 3.53 360.72 189.62 1.012 77.2 81.9 81.9 80.33 2.71 353.48 176.60 0.973 64.6 65.1 65.1 64.93 0.29 338.08 148.88 0.874 57.8 57.3 57 57.37 0.40 330.52 135.26 0.825 46.7 46.2 46.2 46.37 0.29 319.52 115.46 0.716 44.8 44.3 44.1 44.40 0.36 317.55 111.92 0.697 43.1 42.9 42.5 42.83 0.31 315.98 109.10 0.678 41.2 41.6 41.3 41.37 0.21 314.52 106.46 0.65

0.00 0.20 0.40 0.60 0.80 1.00 1.200.00

20.0040.0060.0080.00

100.00120.00140.00160.00180.00200.00

RATE OF HEAT REMOVAL

ALUMINUM THERMOCOUPLECOPPER THERMOCOUPLESTAINLESS STEEL THERMOCOUPLE

DIMENSIONLESS LENGTH ξ

HEAT

FLU

X ()

0.00 0.20 0.40 0.60 0.80 1.00 1.200.00

20.0040.0060.0080.00

100.00120.00140.00160.00180.00200.00

RATE OF HEAT REMOVAL

ALUMINUM THERMOCOUPLECOPPER THERMOCOUPLESTAINLESS STEEL THERMOCOUPLE

DIMENSIONLESS LENGTH ξHE

AT F

LUX

()

Aluminum - BIG FIN - THERMOCOUPLE ALUMINUM - BIG FIN - INFRAREDQ_n 8 IR IR IR AVG STDEV

126.08 0.13 96.8 92.4 92.4 93.87 2.54130.42 0.25 78.4 78.4 71 75.93 4.27107.81 0.38 65.2 55.4 55.4 58.67 5.66101.46 0.50 54.4 49.8 49.2 51.13 2.8476.04 0.63 43.2 43 42 42.73 0.6471.97 0.75 40.8 42.6 39.6 41.00 1.5166.31 0.88 40.4 40.6 40.6 40.53 0.1269.23 1.00 42.8 42.8 43.2 42.93 0.23

COPPER - BIG FIN - THERMOCOUPLE COPPER - BIG FIN - INFRAREDQ_n 8 IR IR IR AVG STDEV

176.67 0.13 88 83.4 84.6 85.33 2.39159.52 0.25 82.4 84.8 86.8 84.67 2.20163.05 0.38 75.2 76.6 76.6 76.13 0.81140.16 0.50 72.6 70.6 66.6 69.93 3.06136.50 0.63 58 58 57.6 57.87 0.23128.25 0.75 55.4 54.8 55.6 55.27 0.42116.12 0.88 57.6 55.8 55.2 56.20 1.25120.38 1.00 58.4 58.4 58.6 58.47 0.12

STAINLESS STEEL - BIG FIN - THERMOCOUPLE STAINLESS STEEL - BIG FIN - INFRAREDQ_n 8 IR IR IR AVG STDEV

114.58 0.13 121.6 122.2 123.4 122.40 0.9297.30 0.25 90.6 67.6 67.6 75.27 13.2863.08 0.38 50.2 46.4 50 48.87 2.1447.72 0.50 42.6 42.6 41.8 42.33 0.4627.52 0.63 35.4 35.6 55.6 42.20 11.6124.22 0.75 34.6 34 34 34.20 0.3521.66 0.88 33.2 33 33.2 33.13 0.1219.34 1.00 32.6 32.6 32.6 32.60 0.00

0.00 0.20 0.40 0.60 0.80 1.00 1.200.00

20.0040.0060.0080.00

100.00120.00140.00160.00180.00200.00

RATE OF HEAT REMOVAL

ALUMINUM THERMOCOUPLECOPPER THERMOCOUPLESTAINLESS STEEL THERMOCOUPLE

DIMENSIONLESS LENGTH ξ

HEAT

FLU

X ()

0.00 0.20 0.40 0.60 0.80 1.00 1.200.00

20.00

40.00

60.00

80.00

100.00

120.00

140.00

RATE OF HEAT REMOVAL

ALUMINUM INFRAREDCOPPER INFRAREDSTAINLESS STEEL

DIMENSIONLESS LENGTH ξ

HEAT

FLU

X ()

0.00 0.20 0.40 0.60 0.80 1.00 1.200.00

20.0040.0060.0080.00

100.00120.00140.00160.00180.00200.00

RATE OF HEAT REMOVAL

ALUMINUM THERMOCOUPLECOPPER THERMOCOUPLESTAINLESS STEEL THERMOCOUPLE

DIMENSIONLESS LENGTH ξ

HEAT

FLU

X ()

0.00 0.20 0.40 0.60 0.80 1.00 1.200.00

20.00

40.00

60.00

80.00

100.00

120.00

140.00

RATE OF HEAT REMOVAL

ALUMINUM INFRAREDCOPPER INFRAREDSTAINLESS STEEL

DIMENSIONLESS LENGTH ξ

HEAT

FLU

X ()

ALUMINUM - BIG FIN - INFRAREDTEMP K TEMP (F) h Q_n367.02 200.96 1.05 130.17349.08 168.68 0.95 87.15331.82 137.6 0.83 50.28324.28 124.04 0.76 35.93315.88 108.92 0.67 21.50314.15 105.8 0.65 18.77313.68 104.96 0.64 18.05316.08 109.28 0.67 21.82

COPPER - BIG FIN - INFRAREDTEMP K TEMP (F) h Q_n358.48 185.6 1.00 109.17357.82 184.4 1.00 107.57349.28 169.04 0.95 87.61343.08 157.88 0.91 73.78331.02 136.16 0.82 48.70328.42 131.48 0.80 43.66329.35 133.16 0.81 45.45331.62 137.24 0.82 49.89

STAINLESS STEEL - BIG FIN - INFRAREDTEMP K TEMP (F) h Q_n395.55 252.32 1.18 206.48348.42 167.48 0.94 85.64322.02 119.96 0.74 31.86315.48 108.2 0.66 20.86315.35 107.96 0.66 20.65307.35 93.56 0.54 9.06306.28 91.64 0.52 7.71305.75 90.68 0.51 7.05

0.00 0.20 0.40 0.60 0.80 1.00 1.200.00

20.00

40.00

60.00

80.00

100.00

120.00

140.00

RATE OF HEAT REMOVAL

ALUMINUM INFRAREDCOPPER INFRAREDSTAINLESS STEEL

DIMENSIONLESS LENGTH ξ

HEAT

FLU

X ()

0.00 0.20 0.40 0.60 0.80 1.00 1.200.00

20.00

40.00

60.00

80.00

100.00

120.00

140.00

RATE OF HEAT REMOVAL

ALUMINUM INFRAREDCOPPER INFRAREDSTAINLESS STEEL

DIMENSIONLESS LENGTH ξ

HEAT

FLU

X ()